# Rekenen met wortels (reeks 5)

#### Maak de noemer wortelvrij

1. $$\frac{16}{\sqrt{6}}$$
2. $$\frac{3}{\sqrt{17}}$$
3. $$\frac{11}{\sqrt{17}}$$
4. $$\frac{49}{\sqrt{15}}$$
5. $$\frac{43}{\sqrt{17}}$$
6. $$\frac{52}{\sqrt{17}}$$
7. $$\frac{56}{\sqrt{11}}$$
8. $$\frac{6}{\sqrt{5}}$$
9. $$\frac{56}{\sqrt{2}}$$
10. $$\frac{42}{\sqrt{7}}$$
11. $$\frac{47}{\sqrt{7}}$$
12. $$\frac{13}{\sqrt{14}}$$

#### Maak de noemer wortelvrij

##### Verbetersleutel

1. $$\frac{16}{\sqrt{6}}=\frac{16\cdot \color{red}{\sqrt{6}} }{\sqrt{6}\cdot \color{red}{\sqrt{6}} }=\frac{16\cdot\sqrt{6}}{6}=\frac{8\cdot\sqrt{6}}{3}$$
2. $$\frac{3}{\sqrt{17}}=\frac{3\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{3\cdot\sqrt{17}}{17}$$
3. $$\frac{11}{\sqrt{17}}=\frac{11\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{11\cdot\sqrt{17}}{17}$$
4. $$\frac{49}{\sqrt{15}}=\frac{49\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{49\cdot\sqrt{15}}{15}$$
5. $$\frac{43}{\sqrt{17}}=\frac{43\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{43\cdot\sqrt{17}}{17}$$
6. $$\frac{52}{\sqrt{17}}=\frac{52\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{52\cdot\sqrt{17}}{17}$$
7. $$\frac{56}{\sqrt{11}}=\frac{56\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{56\cdot\sqrt{11}}{11}$$
8. $$\frac{6}{\sqrt{5}}=\frac{6\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{6\cdot\sqrt{5}}{5}$$
9. $$\frac{56}{\sqrt{2}}=\frac{56\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{56\cdot\sqrt{2}}{2}=28\cdot\sqrt{2}$$
10. $$\frac{42}{\sqrt{7}}=\frac{42\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{42\cdot\sqrt{7}}{7}=6\cdot\sqrt{7}$$
11. $$\frac{47}{\sqrt{7}}=\frac{47\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{47\cdot\sqrt{7}}{7}$$
12. $$\frac{13}{\sqrt{14}}=\frac{13\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{13\cdot\sqrt{14}}{14}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2024-08-09 04:43:10